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Finding the Third Proportional to 303,519 and 655,669

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Solution

The third proportional to 303,519 and 655,669 is: 1,416,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,519 : 655,669 = 655,669 : x
  2. Step 2: Convert to fraction form
    303,519/655,669 = 655,669/x
  3. Step 3: Cross multiply
    303,519x = 655,669 × 655,669
  4. Step 4: Simplify right side
    303,519x = 429,901,837,561
  5. Step 5: Solve for x
    x = 429,901,837,561/303,519
  6. Step 6: Final answer
    x = 1,416,391.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.